Squares and Square Roots
Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.
Properties of Square Numbers
SubtopicProperties of Square Numbers under Squares and Square Roots for Grade 8 ICSE.
Preview questions (no answers)
- 1.
Which of the following numbers is a perfect square?
A.B.C.D. - 2.
The unit digit of is:
A.B.C.D. - 3.
What is the square of ?
A.B.C.D. - 4.
The value of is:
A.B.C.D. - 5.
What is the square of the decimal ?
A.B.C.D. - 6.
Which of the following numbers would have at its units place when squared?
A.B.C.D. - 7.
Find the value of using the property .
A.B.C.D. - 8.
Given that (47^2 = 2209), what is the value of (4.7^2)?
A.22.09
B.220.9
C.2.209
D.0.2209
- 9.
The number of zeros at the end of the square of (4000) is:
A.6
B.3
C.5
D.4
- 10.
In the sequence of squares, what is the value of (11111^2)?
A.123454321
B.1234321
C.12345654321
D.111111111
Download the worksheet for Squares and Square Roots - Properties of Square Numbers to practice offline. It includes additional chapter-level practice questions.
Finding Square Roots by Prime Factorisation
SubtopicFinding Square Roots by Prime Factorisation under Squares and Square Roots for Grade 8 ICSE.
Preview questions (no answers)
- 1.
Using prime factorisation, calculate the square root of .
A.B.C.D. - 2.
Find by prime factorisation.
A.B.C.D. - 3.
Using prime factorisation, find the square root of .
A.B.C.D. - 4.
What is the square root of by prime factorisation?
A.B.C.D. - 5.
What is the square root of ?
A.27
B.81
C.243
D.9
- 6.
Find the square root of .
A.350
B.175
C.700
D.50
- 7.
Resolve into prime factors and find the smallest number to divide it by to get a perfect square.
A.2
B.3
C.7
D.6
- 8.
Find the value of using the prime factorisation of each component.
A.232
B.272
C.252
D.242
- 9.
Find the smallest number by which should be multiplied to get a perfect square.
A.2
B.3
C.6
D.8
- 10.
Calculate the value of if through prime factor expansion.
A.60
B.120
C.90
D.150
Download the worksheet for Squares and Square Roots - Finding Square Roots by Prime Factorisation to practice offline. It includes additional chapter-level practice questions.
Finding Square Roots by Long Division Method
SubtopicFinding Square Roots by Long Division Method under Squares and Square Roots for Grade 8 ICSE.
Preview questions (no answers)
- 1.
What is the square root of calculated by the long division method?
A.90
B.9
C.900
D.81
- 2.
Calculate the square root of using the long division method.
A.32
B.42
C.38
D.48
- 3.
Find the square root of using the long division method.
A.25
B.50
C.500
D.5
- 4.
How many bars (periods) will be placed over the digits of the number when finding its square root by long division?
A.1
B.2
C.3
D.0
- 5.
What is the square root of correct to two decimal places as found by the long division method?
A.B.C.D. - 6.
Find the square root of using the long division method.
A.B.C.D. - 7.
By long division, calculate the value of .
A.B.C.D. - 8.
Find the value of correct to three decimal places.
A.B.C.D. - 9.
Find the least number to be added to to make it a perfect square.
A.B.C.D. - 10.
Find the square root of using the long division method.
A.B.C.D.
Download the worksheet for Squares and Square Roots - Finding Square Roots by Long Division Method to practice offline. It includes additional chapter-level practice questions.